Mayer f-function
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The Mayer f-function is an auxiliary function that often appears in the series expansion of thermodynamical quantities related to classical many-particle systems.
[edit] Definition
Consider a system of classical particles interacting through a pair-wise potential
where the bold labels 
and 
denote the continuous degrees of freedom associated with the particles e.g.
for spherically symmetric particles and
for rigid non-spherical particles where 
denotes position and Ω the orientation parametrized e.g. by Euler angles. The Mayer f-function is then defined as
where β = (kBT) − 1 the inverse absolute temperature in units of the Boltzmann constant kB.
